11754994876416 has 1680 divisors, whose sum is σ = 43011578957760. Its totient is φ = 3164665282560.

The previous prime is 11754994876309. The next prime is 11754994876439. The reversal of 11754994876416 is 61467849945711.

11754994876416 is a `hidden beast` number, since 1 + 1 + 7 + 5 + 49 + 94 + 87 + 6 + 416 = 666.

It is a super-2 number, since 2×11754994876416² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 42436804470 + ... + 42436804746.

It is an arithmetic number, because the mean of its divisors is an integer number (25602130332).

Almost surely, 2^{11754994876416} is an apocalyptic number.

11754994876416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11754994876416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21505789478880).

11754994876416 is an abundant number, since it is smaller than the sum of its proper divisors (31256584081344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11754994876416 is an equidigital number, since it uses as much as digits as its factorization.

11754994876416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 329 counting only the distinct ones).

The product of its digits is 365783040, while the sum is 72.

The spelling of 11754994876416 in words is "eleven trillion, seven hundred fifty-four billion, nine hundred ninety-four million, eight hundred seventy-six thousand, four hundred sixteen".